Charged Ring
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.
What is the magnitude of the electric field along the positive z axis? Use k in your answer, where 
.
Homework Answers
The electric fields in the xy plane cancel by symmetry, and thez-components from charge elements can be simply added.
Thus, Ez = kqz / (z^2+a^2)^3/2
Consider a uniformly charged ring in the xy plane,centered at the origin. The ring has radius...
Consider a uniformly charged ring in the xy plane, centered
at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. PartAWhat is the direction of the electric fieldat
any point on the z axis?parallel to the x axisparallel to the y axisparallel to the z axisin a circle parallel to the xy planePartBWhat is the magnitude of the electric
fieldalong the positive z axis?Use k in your answer, where .E(z) =PartCImagine a small metal ball of mass m and negative charge -q0. The ball is released...
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. (Figure 1)
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. (Figure 1) Part B What is the magnitude of the electric field E on the z axis as a function of z, for z >0?
potential of a charged ring
A ring with radius and a uniformlydistributed total charge lies inthe xy plane, centered at the origin.What is the potential due to the ring on the z axis as a function of ?Express your answer in terms of , , , and or .What is the magnitude of the electric field on the z axis as a function of , for ?Express your answer in terms of , , , and or .
A charged disk and a charged ring are centered at the origin in the free space...
A charged disk and a charged ring are centered at the origin in the free space as shown in figure 4. Bothe changed elements exists in the xy plane. The disk has a radius a and carries a uniform surface charge density of Ps. The ring has a radius 2a and carries a uniform line charge density Pe. Find the following: a) The electric field intensity on z-axis and determine where the electric field is zero b) The electric potential...
A ring of radius a carries a uniformly distributed positive total charge Q. Calculate the electric field due to the ring at a point P lying a distance & from its center along the central axis perpendicular to the plane of the ring.
A ring of radius a carries a uniformly distributed positive total charge Q. Calculate the electric field due to the ring at a point P lying a distance & from its center along the central axis perpendicular to the plane of the ring.
A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y axis (see figure below)
A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y axis (see figure below). Also centered on the y axis is a charged ring with the same radius as the disk and total charge Qring. The ring is a distance d above the disk. Determine the electric field at the point P on the y axis, where P is above the ring a distance y from the origin. (Use any...
MI.1. A thin circular plastic ring carries a net charge that is uniformly distributed throughout the...
MI.1. A thin circular plastic ring carries a net charge that is uniformly distributed throughout the ring with a linear density of λ = 3.4 × 10-6 C/m. This ring is positioned parallel to a neutrally- charged infinite conducting plane such that its distance from the plane equals the radius (a) of the ring Fig.1]. It can be shown that the magnitude of the electric field on the axis of the this ring is given by: 20 (a+r2)3/2 where x...
UN uniform ombs and ane, center A uniform circular ring of charge Q= 4.30 microCoulombs and...
UN uniform ombs and ane, center A uniform circular ring of charge Q= 4.30 microCoulombs and radius R= 1.10 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point P, located at z= 3.90 cm? Submit Answer Tries 0/40 Consider other locations along the positive z-axis. At what value of z does E have its maximum value? Submit Answer Tries 0/40 What is...
Find an expression for the position y (along the positive axis perpendicular to the ring and...
Find an expression for the position y (along the positive axis perpendicular to the ring and passing through its center) where the electric field due to a charged ring is a maximum. Also find an expression for the electric field at that point. (Use the following as necessary: R for the radius of the ring, Q for the charge on the ring and k for Coulomb's constant. Enter the magnitudes. Assume Q is positive.) y = E =
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with...
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with an inner and outer radius a and b, respectively. Calculate the electric field at any point on the z axis by using Coulomb's law. Then, calculate the electric potential on the z axis and use this expression to find the z component of the electric field. Check that the electric field calculated through the potential is the same as the one calculated by using...
Consider a uniformly charged ring in the xy plane, centered
at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. PartAWhat is the direction of the electric fieldat
any point on the z axis?parallel to the x axisparallel to the y axisparallel to the z axisin a circle parallel to the xy planePartBWhat is the magnitude of the electric
fieldalong the positive z axis?Use k in your answer, where .E(z) =PartCImagine a small metal ball of mass m and negative charge -q0. The ball is released...
A charged disk and a charged ring are centered at the origin in the free space as shown in figure 4. Bothe changed elements exists in the xy plane. The disk has a radius a and carries a uniform surface charge density of Ps. The ring has a radius 2a and carries a uniform line charge density Pe. Find the following: a) The electric field intensity on z-axis and determine where the electric field is zero b) The electric potential...
MI.1. A thin circular plastic ring carries a net charge that is uniformly distributed throughout the ring with a linear density of λ = 3.4 × 10-6 C/m. This ring is positioned parallel to a neutrally- charged infinite conducting plane such that its distance from the plane equals the radius (a) of the ring Fig.1]. It can be shown that the magnitude of the electric field on the axis of the this ring is given by: 20 (a+r2)3/2 where x...
UN uniform ombs and ane, center A uniform circular ring of charge Q= 4.30 microCoulombs and radius R= 1.10 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point P, located at z= 3.90 cm? Submit Answer Tries 0/40 Consider other locations along the positive z-axis. At what value of z does E have its maximum value? Submit Answer Tries 0/40 What is...
Problem 6 Charge Q is uniformly distributed over a circular ring on the xy plane with an inner and outer radius a and b, respectively. Calculate the electric field at any point on the z axis by using Coulomb's law. Then, calculate the electric potential on the z axis and use this expression to find the z component of the electric field. Check that the electric field calculated through the potential is the same as the one calculated by using...
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